{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Noisy Likelihoods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, let's set up some environmental dependencies. These just make the numerics easier and adjust some of the plotting defaults to make things more legible."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Python 3 compatability\n",
    "from __future__ import division, print_function\n",
    "from six.moves import range\n",
    "\n",
    "# system functions that are always useful to have\n",
    "import time, sys, os\n",
    "\n",
    "# basic numeric setup\n",
    "import numpy as np\n",
    "from numpy import linalg\n",
    "\n",
    "# inline plotting\n",
    "%matplotlib inline\n",
    "\n",
    "# plotting\n",
    "import matplotlib\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "# seed the random number generator\n",
    "np.random.seed(819)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# re-defining plotting defaults\n",
    "from matplotlib import rcParams\n",
    "rcParams.update({'xtick.major.pad': '7.0'})\n",
    "rcParams.update({'xtick.major.size': '7.5'})\n",
    "rcParams.update({'xtick.major.width': '1.5'})\n",
    "rcParams.update({'xtick.minor.pad': '7.0'})\n",
    "rcParams.update({'xtick.minor.size': '3.5'})\n",
    "rcParams.update({'xtick.minor.width': '1.0'})\n",
    "rcParams.update({'ytick.major.pad': '7.0'})\n",
    "rcParams.update({'ytick.major.size': '7.5'})\n",
    "rcParams.update({'ytick.major.width': '1.5'})\n",
    "rcParams.update({'ytick.minor.pad': '7.0'})\n",
    "rcParams.update({'ytick.minor.size': '3.5'})\n",
    "rcParams.update({'ytick.minor.width': '1.0'})\n",
    "rcParams.update({'font.size': 30})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import dynesty"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Noisy Likelihoods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In some problems, we don't actually have access to the likelihood $\\mathcal{L}(\\mathbf{x})$ because it might be intractable or numerically infeasible to compute. Instead, we are able to compute a noisy estimate\n",
    "\n",
    "$$ \\mathcal{L}^\\prime(\\mathbf{x}) \\sim P(\\mathcal{L} | \\mathbf{x}, \\boldsymbol{\\theta}) $$\n",
    "\n",
    "as a function of the \"true\" likelihood $\\mathcal{L}$ that depends on some hyper-parameters $\\boldsymbol{\\theta}$ (e.g., the number of Monte Carlo draws used in the approximation) and might also vary as a function of position $\\mathbf{x}$.\n",
    "\n",
    "There are several methods for dealing with noisy (i.e. stochastic) likelihoods in an MCMC context (see, e.g., pseudo-marginal MCMC), but at first glance this might seem difficult to deal with in Nested Sampling since we require the likelihood for each sample to be monotonically increasing. This will inevitably lead to biased inference, since positive fluctuations can skew later results to also be positive. We can, however, still recover the true distribution by making judicious use of **importance reweighting** to re-assign a new set of likelihood realizations to our results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3-D Multivariate Normal"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To demonstrate this, we will again utilize a 3-D **multivariate Normal** distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "ndim = 3  # number of dimensions\n",
    "C = np.identity(ndim)  # set covariance to identity matrix\n",
    "Cinv = linalg.inv(C)  # precision matrix\n",
    "lnorm = -0.5 * (np.log(2 * np.pi) * ndim + np.log(linalg.det(C)))  # ln(normalization)\n",
    "\n",
    "# 3-D correlated multivariate normal log-likelihood\n",
    "def loglikelihood(x):\n",
    "    \"\"\"Multivariate normal log-likelihood.\"\"\"\n",
    "    return -0.5 * np.dot(x, np.dot(Cinv, x)) + lnorm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll again define our prior (via `prior_transform`) to be uniform in each dimension from -10 to 10 and 0 everywhere else."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# prior transform\n",
    "def prior_transform(u):\n",
    "    \"\"\"Transforms our unit cube samples `u` to a flat prior between -10. and 10. in each variable.\"\"\"\n",
    "    return 10. * (2. * u - 1.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Noiseless Case"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's first generate samples from this noiseless target distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "iter: 20365 | batch: 10 | bound: 0 | nc: 1 | ncall: 67271 | eff(%): 30.273 | loglstar:   -inf < -3.182 < -3.204 | logz: -9.024 +/-  0.091 | stop:    nan                                              \n"
     ]
    }
   ],
   "source": [
    "# initialize our nested sampler\n",
    "dsampler = dynesty.DynamicNestedSampler(loglikelihood, prior_transform, ndim=3,\n",
    "                                        bound='single', sample='unif')\n",
    "dsampler.run_nested(maxiter=20000, use_stop=False)\n",
    "dres = dsampler.results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Noisy Case"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's generate samples from a noisy version. Here we'll assume that we have a noisy estimate of our \"model\", which here is $f(\\mathbf{x}) = \\mathbf{x}$ such that\n",
    "\n",
    "$$ \\mathbf{x}^\\prime \\sim \\mathcal{N}(\\mathbf{x}, \\sigma=1.) $$\n",
    "\n",
    "Since our \"true\" model is $\\mathbf{x} = 0$ and our prior ranges from $-10$ to $10$, this is roughly equivalent to assuming $\\sim 10\\%$ uncertainty in each dimension."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "noise = 1.\n",
    "\n",
    "# 3-D correlated multivariate normal log-likelihood\n",
    "def loglikelihood2(x):\n",
    "    \"\"\"Multivariate normal log-likelihood.\"\"\"\n",
    "    xp = np.random.normal(x, noise)\n",
    "    logl = -0.5 * np.dot(xp, np.dot(Cinv, xp)) + lnorm\n",
    "    scale = - 0.5 * noise**2  # location and scale\n",
    "    bias_corr = scale * ndim  # ***bias correction term***\n",
    "    return logl - bias_corr"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note the additional **bias correction** term we have now included in the log-likelihood. This ensures that our noisy likelihood is unbiased relative to the true likelihood."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True log-likelihood: -2.756815599614018\n",
      "Estimated: -2.750425831523676 +/- 1.2192679842273098\n"
     ]
    }
   ],
   "source": [
    "# compute estimator\n",
    "x = np.zeros(ndim)\n",
    "logls = np.array([loglikelihood2(x) for i in range(10000)])\n",
    "\n",
    "print('True log-likelihood:', loglikelihood(x))\n",
    "print('Estimated:', np.mean(logls), '+/-', np.std(logls))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's now sample from our noisy distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "iter: 20000 | batch: 10 | bound: 0 | nc: 1 | ncall: 1277597 | eff(%):  1.565 | loglstar:   -inf < -1.560 < -1.778 | logz: -7.508 +/-  0.092 | stop:    nan                                            \n"
     ]
    }
   ],
   "source": [
    "dsampler2 = dynesty.DynamicNestedSampler(loglikelihood2, prior_transform, ndim=3,\n",
    "                                         bound='single', sample='unif', \n",
    "                                         update_interval=50.)\n",
    "dsampler2.run_nested(maxiter=20000, use_stop=False)\n",
    "dres2 = dsampler2.results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, sampling is substantially more inefficient in the noisy case since more likelihood calls are required to get a noisy realization that is \"better\" than the previous noisy realization."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparing Results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Comparing the two results, we see that the noise in our model appears to give a larger estimate for the evidence. This is what we'd expect given that our sampling will preferentially be biased to noisy realizations with larger-than-expected log-likelihoods at any given position."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1152x1152 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot results\n",
    "from dynesty import plotting as dyplot\n",
    "\n",
    "lnz_truth = ndim * -np.log(2 * 10.)  # analytic evidence solution\n",
    "fig, axes = dyplot.runplot(dres, color='blue')  # noiseless\n",
    "fig, axes = dyplot.runplot(dres2, color='red',  # noisy\n",
    "                           lnz_truth=lnz_truth, truth_color='black',\n",
    "                           fig=(fig, axes))\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This effect also propagates through to our posteriors, broadening them relative to the underlying distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2520x1080 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize figure\n",
    "fig, axes = plt.subplots(3, 7, figsize=(35, 15))\n",
    "axes = axes.reshape((3, 7))\n",
    "[a.set_frame_on(False) for a in axes[:, 3]]\n",
    "[a.set_xticks([]) for a in axes[:, 3]]\n",
    "[a.set_yticks([]) for a in axes[:, 3]]\n",
    "\n",
    "# plot noiseless run (left)\n",
    "fg, ax = dyplot.cornerplot(dres, color='blue', truths=[0., 0., 0.], truth_color='black',\n",
    "                           show_titles=True, max_n_ticks=3, title_kwargs={'y': 1.05},\n",
    "                           quantiles=None, fig=(fig, axes[:, :3]))\n",
    "\n",
    "# plot noisy run (right)\n",
    "fg, ax = dyplot.cornerplot(dres2, color='red', truths=[0., 0., 0.], truth_color='black',\n",
    "                           show_titles=True, title_kwargs={'y': 1.05},\n",
    "                           quantiles=None, max_n_ticks=3, fig=(fig, axes[:, 4:]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Importance Reweighting"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we knew the \"true\" likelihood, we could naively use importance reweighting to reweight our noiseless samples to approximate the \"correct\" distribution, as shown below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# importance reweighting\n",
    "logl = np.array([loglikelihood(s) for s in dres2.samples])\n",
    "dres2_rwt = dynesty.utils.reweight_run(dres2, logl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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N6vx6jaNePmNdyTk/lXM+NOe8as55YM55jZzz/8s5fwRsUjrslcZJmJzzFOC1hqctvVSBYUuSJEnFchVLx+f3uEMyb9Xm6iW3Ui9xdArl5I5mJ6W0FrBK6aldRySpBSwekWbDOZ7U9nLObwCXNHppeEppth0EUkpdgOuAzUsvTQZ2zjk/Xb0oVYmUUm9gy0Yv3Ztznja74wFK7/+10Us71XMc9fIZ25OU0vzALqWnV8/ikIavzTKldrGzsmKjx28XFZskSZIkSWDeqi3VS26lXuJQi3JHs3Jw6f5z4NbCg5KkDsjiEWkWLBzpfPye15WfEf9DD9ADOK2ZYy8Cdis9ng7slXN+oIqxqXJDmbnPKMCjLTyv8XEDU0rz1XEc9fIZ24VSMu1ioA/wEdGatKmriG4ifYAjZjPU8aX7icA/io1SkiRJKogJiM7D73VHZd6qbdRLbqVe4ujUWpg7anpOH2Cv0tMbc85fVi9CSeo4LB6RpBLn9PUh5/wJsY9lg/1TSss1PS6ldAZwWKOXDsk5/6na8aliQ5s8b+n+pE2PazpOPcVRL5+xVVJK/VNKAxpuQLfSWz0bv55SmmcW527aqAXvAbN4f6mU0s9TSmuklHqVXuuSUtqAWI2zGzAVOCDn/FnT83POLzKzvejZKaVDGo2zQKlV8Pal988t7TEsSZIk1RcTD52P3/MOx7xVm6mX3Eq9xFEX6jl3NAt7AP1Kj92yRpJayOIRqQnndFJdOB8YVXrcFTiz8ZsppcOBUxu99P9yzle2UWxzlFIa3GgyVPTtgFp/vgoNbvL83Rae984cxqmnOKo5djU9C4xudFun9PpeTV6/o4yx+wEnAU8Dk1JKnwJfAY8Q7V8/BXbJOd/XzBhHAn8BehNtgieklMYCH5feA7icJn8vJEmSJKmmTDZ2ROatqp+3GtzkeUfMH7VH9Z47auz7pfsXcs5PlhGPJHVKFo9IUiPO5+tDqY3gGY1e2i2ltBpASml34MJG752Tc2684kP1rV+T5y1ZKQAwvsnzues4jnr5jPVkJNHa9yHgA6Av0eb3SSKhtmzO+S/NDZBznpxz3gHYD/g7MIH4Gn1MJCW+lXM+OOc8o1ofQpIkSSqbCYfOze9/h2Leqk3US26lXuLoDEZSYe6oQUppCLBh6aldRySpFbrN+RCp83AeJ9WVy4CjgeWABJyVUvo1cB0zix8vyzn/tEbxNWcS0U6xGj6o0rhtZa4mzye18Lymx1U66a5mHDX5jDnn04HTW3NOk/MHV3Dug8Tv6eze/4zm94FuzbWuB64vYixJkiRJajPDh8OIEbWOQsUxbzVrReWtOkP+qCYqyR+1o9zR681dS5I0exaPSCUWjqiBc/n6kHOellI6Ebit9NJ2wGZAj9Lz24C6/M3NOX8MbFvrOOaktCfvy1Ua/qCc8zWzeL17k+fTWjje1DmM01rVjKNePqMkSZKkemDSSQ1MOnUY5q2qrl5yK/UShyRJbcJtayScw0v1Kuf8R+DxRi/1Lt3fD+zTku0pUkrzp5QOTCldl1J6JaX0ZUppckrp/ZTSn1JKu1Qj9nYiEXvzVuM2u//H+LLJ814tjLV3k+dNx2mtasZRL59RkiRJUq2ZdFJTw4f7c9FBmLeqqnrJrdRLHJIktQk7j0jSLDTM4V0MUhduAdZr9PwFYJec85QWnj+Kr//37iui+n+x0m3nlNI9wG4554kFxKvmfdHkeR+gJV/3Pk2ef17HcdTLZ5QkSZJUSxYIqDl2IekozFtVR73kVuolDkmS2oSdR9TpOY+X6ldKaUPg7CYvLwDMceVGI92IVSCHAkvmnHvnnOcClgQuLx3zLeCSCsNtd3LO/8k5pyrdrprNZUc3eb5IC8NtetyYVn3Yto2jXj6jJEmSJKmemZhs18xbVVW95FbqJQ5JktqEnUfUqTk/05y4CKR2UkqrAHfyzTaPiwA/Bn7ewqE2yzk/2PTFnPNI4OCU0jRiD9p9U0on5pzfLTvokpTSQsDVlY4zG+fnnP9WpbHbwn+aPB8EvNiC8wbNYZx6iqNePqMkSZKkWjHppJay/W27ZN5qtorKW9VLbqVe4pAkqU1YPCJJc2ABSdtLKS0F/BWYt/TS08CTwGGl5z9JKY3IOTet/v+GWU3Am7icmIQDDAMqnoQTiYNtChhnVm6q0rht5eUmz9cA7mrBeWs0ejwFeKOO46iXz9hiKaU+wMbA6qXbGsBSQAKuzjkfUNB11gGOBDYCFibav74K3ABcknOe1srxTgF+1vA855yKiFOSJEmqiIUjKocJqHbDvFWzispb1UtupV7iqLn2lDtKKW0JHAysCyxUivET4vf06pzzn4uIVZI6IretUaflPF6qTymlhYG/EZMDgNeJ9pwnAxNKr80NnFLQJb9q9LhrQWNqNnLO7wFvNXppkxae2vi4R3LO0+s1jnr5jK20NnAP0W53d2BpYmJdmJTSaUQr3n2BgcQewXMBGwAXAY+klOZpxXgrEn8XJEmSpPphwkmV8Oen7pm3ahv1kluplzjqRN3njlIYQfyO7snMDjDTgSWAXYE7Ukq3ppRcXC9Js2DxiDol52FqLX9m2kbpf/7/SlStA3wIbJ1zHp1zHgv8utHhh6WUli7gso0ncy1pOzlHOeeROedUpdtVRcRYY7c3erxpSmlgcweX3m/8fbqtHcRRL5+xNcYBDxC/Z9+loN8HgJTSgcDpRFLhZmBQzrk/kQDYo3TtdWjhCqWUUlfgSqAHkVSQJEmSas/kgYrgz1HdMm/V5nmresmt1Esc9aDec0cHAIeWHt8OLA/0yTn3BZYkckkAuwE/Kip2SepILB5Rp+P8S+UaPtyfn2pKKfUm9opdpfTSOGIC/k6jw34NjCk97k5UuldyzXmAn5ae/jPn/Fol46nFrgRmlB53Yc6rcU5l5v+zfAHc0g7iqJfP2FL/zDnPl3PePOd8bM75OmaumKpIqdDjrNLTZ4C9G/ZozjlPzTnfChxSen/blNK3WjDsscBawHXAfUXEKUmSJFXEhIGK5M9T3TFvVRP1kluplzhqrT3kjvYv3b8J7Jlzfi3nnEvjjAS+DzxWOmb3ImKXpI7G4hF1Ks67VAR/jopXahN4C7GXJURLwh1yzl/bVzTn/Dnwi0Yv7Z5SWqvMa3Yh/uF5UWAysZem2kDp+3pdo5cOTikdPKtjU0rDiYldg/NyzmNmdWzp+MEppdzodlUt4qjm2NVQ5fapw4BFSo/Pa5i0N7n+bcB/S0+/3/T9xlJKywFnEAm5YwqMU5IkSSqPiQJVgz9XdcO8VW10hvxRe9JOckcNYzyXc546izEy8FTpaZ/yw5WkjsviEXUazrdUJH+eipNSSsAVwA6ll6YBu+ecH5vNKf8DvN9wOnBumZe+sNE1D885P1/mOCrP/wPebvT80pTSHSmlvVNKm6SU9kkp3Qlc3OiYJ4FftaM46uUz1trgRo9fbea4hve2Lv1d+IZS8uwKoBdwdEdJwEiSJKkdM0GgavLnq+bMW9VcveRWqhZHSunklNJXTW/Axo0O23hWx6SULi3k09Xe4EaPK8kdvVm6X7VU9DUrw0r3T83mfUnq1Gb3x1PqMJxjqVoafrZGjKhtHB3A+cQemQAZODDnfPfsDs45f5VSOhNo+MpvmlLarrlzmkopnQ8cXnp6VM75ijLiVgVyzp+klLYj9gpu2Ct2p9JtVl4gVvVMbC9x1MtnrDNdm3mv4f9L5wYGASNnccxRwPrAPTnn64sNTZIkSWoFE05qK8OHm3yqLfNWNVQvuZUqx9EN6DmHY9JsjunegvHbm0pyR78HtgOWAW5MKZ2Yc/4vQEppIHAysAHRzfaMAmOWpA7DziPq0JzHqy34c1a+lNKJfH3biYb9MufkCma2KQT4ZakjQUuueS7w49LTY3LOF7YoWBUu5/wfYGViVc4XszlsLPBzYK2c8yftLY56+Yw1NrLR45VmdUBptcjQRi8tNotjlib2v/0COKzA+CRJkqTWMRGgtjZ8uD93NWDeqj7US26lXuLooEY2elx27ijnfA/wA2Krp92A11NKk1JKXwLvAPsAVwNr5JzfKSZ0SepY7DyiDsm5lNqaXUjKk3M+Gzi7jPOmAUNae15K6VfAcaWnP845/7a1Y6hYOecJwBEppeOATYlVA/2JFQBvAg+Xvt8tHW8ksRqjpnG01djtxNPAKGBh4PiU0vWz+Lzf5estSvs1frOUILiM2I/2Rznnd6sXriRJkjQbJpxUa3YhaVPmrepHR84f5ZxPB05vbSwdTMW5owY554tTSm8B1wALEVsfN+gBzEV8z94rJnRJ6lgsHlGH4hxetdb4Z9C5fH1JKZ0HHFt6emzO+Te1jEdfl3OeBNzTkeMoYuyU0gHAlRUMcUjO+bJKYmitnPP0lNKpwCXACsDdpdVbLwDzAHsQe0BPZWa71RlNhvkBkZR5gmhBKkmSJLUdE06qJxaQdEjmrVqmM+SPitDe8kcF5Y5IKfUmFh/tAzwLHAA8UzpvZeA04DvAtimlHXPOD1TxY0lSu2TxiDoE5/CqRxaS1I8mE/AfOwGX2lbO+dJGe8tuVbo19ilwJvCL0vNxDW+klAYBvyQm+ofknL+RHJAkSZIKZ7JJ9cwWuB2KeSupstxRI+cShSPPA+vlnCc3eu/hlNKWwN3AtsClKaWhOecpBX4MSWr3LB5Ru+T8Xe2NhSS1k1L6JTMn4MfY8lPt3M3AvRWcP76oQFor53xKSukO4FBgHWa2df078Gtgh4ZD+fre0L8lWoqeB4xMKc3VZOgeDQ8avTfFyb8kSZJazYST2hsTTu2eeStVSbvMH1WQO2rICR1Wevr7JoUjDePnlNKvieKRpYHVgH9X4aNIUrtl8YjqmnN2dUTN/Vw7zy9WqVr9J6WnM4ATUkonNHPKeTnn86ofmVSeUlvUSbWOo1w556eAp2b1Xkppk9LDV3LOjVePLFm6P46Zez/Pzuel+98BR5cbpyRJkjoBk07qaJr+TJtkqnvmrVQt7Tl/VGbuCGA5Zv6b5zvNXGJko8dLYvGIJH2NxSNqM87JpTmr5PfEnMAsdWnyeKE5HN+0o4GkNpBSmh/YpfT06lrGIkmSpHbGhJM0a0X/bph4qgbzVlILtSB3NL3R40WaGWqxRo8nVBqXJHU0Kedc6xhUZSml0TRfaVkNy5XuX2vj66pyfu/at1p8/wblnBdow+tJagMppUeADYCrc84HVPE6XYh2qrsBHwFDc86fteL804HTAHLOqRoxSpIkafbaOO9kzqJ98/vXvtXy+2fuSapD9ZQ7Sin1AsYCfYBHgU1yztNnMdYtwO5EsclCOeex1YpbktojO490ArX4H+uU0oOla2/a1tdWZfzetW9+/ySVK6XUH+ja6KWG/0/smVIa0Oj1qTnnr+19m1LaFHig9PTAnPNVTd5fCjgI+CPRWvSr0sR/PeB0YEtgKnBAawpHJEmSVHttmXdyztu++f1r3/z+Sarn3FHp+EuBHxEFLfeklH4CvEhsC7UscCZROAJwlYUjkvRNFo9IkiQJ4Flg0Cxe36t0a/AQsGkrx+4HnFS6kVIaR7Tb7V56/1Ng/5zzfa0cV5IkSZIkSW2j3nNHJwDLANsDW5XinUIUj/RqdNz9wFGtjE+SOgWLRyRJklRtI4GfAZsQk/gFgM+BN4E7gYtyzp/WLDpJkiRJkiTV0kgqzB3lnL8Cdkgp7QrsC6wFLAh0AT4EngauB27JOefqfAxJat+Sfx9VDbYxbL/83rVvfv8kSZIkSR2Vc972ze9f++b3T5IkqePrUusAJEmSJEmSJEmSJEmSVDsWj0iSJEmSJEmSJEmSJHViFo9IkiRJkiRJkiRJkiR1YinnXOsYJEmSJEmSJEmSJEmSVCN2HpEkSZIkSZIkSZIkSerELB6RJEmSJEmSJEmSJEnqxCwekSRJkiRJkiRJkiRJ6sQsHpEkSZIkSZIkSZIkSerELB6RJEmSJEmSJEmSJEnqxLrVOgBV34ABA/LgwYNrHYbaiTfeeAOAZZZZpsaRqL14+umnx+ScF2jtef5tUmv4t0nlKPfvkyRJklrOuZ1aynmdymXuSdXk3yZVwtyTpI7G4pFOYPDgwTz11FO1DkPtxI477gjAnXfeWeNI1F6klN4p5zz/Nqk1/NukcpT790mSJEkt59xOLeW8TuUy96Rq8m+TKmHuSVJH47Y1kiRJkiRJkiRJkiRJnZjFI5IkSZIkSZIkSZIkSZ2YxSOSJEmSJEmSJEmSJEmdmMUjkiRJkiRJkiRJkiRJnZjFI5IkSZIkSZIkSZIkSZ2YxSOSJEmSJEmSJEmSJEmdmMUjkiRJkiRJkiRJkiRJnZjFI5IkSZIkSZIkSZIkSZ2YxSOSJEmSJEmSJEmSJEmdmMUjkiRJkiRJkiRJkiRJnZjFI5IkSZIkSZIkSZIkSZ2YxSOSJKldeOEFGD681lFIkiRJkiSpXTPBJEnSLHWrdQCSJEnNGT48CkcaPwcYMaI28UiSJEmSJKmdakgstaSApPExJqIkSZ2AnUckSVLdam4e7yIRSZIkSZIktdiskkmNVyw1Pq7psSaiJEmdgJ1HJElSXWrpAhAXfkiSJEmSJKls7pUsSRJg5xFJklSHnK9LkiRJkiSprpiwkiR1cBaPSJKkds15uyRJkiRJkpplAkmSpDmyeESSJNWVcubyzv8lSZIkSZJUdSahJEkdmMUjkiSpbjj/liRJkiRJUqFMOEmS1CIWjxQopZRqHYMkSZIkSZIkSZIkSVJrWDxSkJTSEsD+KaUBtY5FkqT2qNJFIC4ikSRJkiRJkiRJKo/FIwVIKS0JvARcDHwnpTRfjUOSJEmSJElSB2PXW0mS6oArmCRJHZTFIxVKKS0OPArMDfQETgb2tIBEkqS259xdkiRJHZVdbyVJKoPJIkmSWszikcrtAiwMTAGmAosBJ2ABiSRJLeY8XpIkSZo9u95KkiRJkqrN4pHK3QeMBWYADwLjgCWwgESSJEmSJEkVsuutJEmSJKktdKt1AB3AeKJwpAcxkZ8IbMXMAhJSSjfnnD+tZhAppQdn996wYcOqeWlJkipi15H/IOgAACAASURBVBFJkiSpWY273iZmdr1tk5yTJEmSJKlzsPNIBVJKKec8CniA+Fq+BBwP/A34EjuQSJLU5ixGkSRJUgdj11tJkuqNCShJUgdk55EK5Jxz6eF/Svd755x3TymdC2Tm0IEkpdQl5zyjoFg2nd17a665Zp7de5Ik1ZLzbEmSJGmO6qLrrSRJ7Y6JJ0mSWsXikQqUOo9k4F+ll5YGyDk/nlI6m2gluiVfn8zfmnMek1JaBFgtpfRUznl0DcKXJEmSJElSHWvoeptSegDYg+h6e1Pp7aY5p6oVkLhdsiRJkiR1fG5bU4FGnUeeA8YAy6WUVi+99xRwFt/cwmbnlNJQ4BDgQuD3KaUF2jp2SZIkSZIk1bfZdL19HTiXFmybnFIy9ydJkiRJahE7j1QopdSVaBf6AbAqsCLwLEQBySw6kJwBPAOsDAwqvTet7SOXJKm2qtk5dPhwGDGieuNLkiRJbaFeut66XbIkSZIkdXwWj1Qo5zwdGF9q37kqsApASqlbznlaowKSacC3gEWBBYmv/bvABjnncSmlLjnnGTX5EJIkSZIkSao7s+t6m3N+tpRzOgvIwFbMLCCZklJ6HNgN2B94OqX0Q7dNliRJkiQ1x9aVFUoppdLDj0r3W6SUeuecpzW8l3N+ErgCeAeYwcxuI5fmnEeVjrFwRJKkAlWzs4kkSZLUVpp0ve1NdL0F/m/b5LOB+5m5hc0ZwDnAgcBSwJrY9VaS1Nm0RWLI5JMkqYOxeKRCjVaA3AeMBfoC/RofU2oTujLQn/iaJ6LzyMEppR+mlOZvu4glSZIkSZLUXuScp+ecxwMPll76v663pfcbCkjuJYpMFgW2JbZL/lrX2zYOXZIkSZLUjjhpLM7nREHIEGBjiMKSUuHIIcDhwMLAKGI1yBfEJP7/Ad9JKQ2oRdCSJNWCCzMkSZKklrHrrSRJkiSpLVg8UpCc85vAQ6WnCwGklBYlCkcOAgYSqz1WIApJ/sHMdqK/BnZyBYgkSZIkSZIas+utJEmt5KolSZLKYrFCsd4t3W+RUlqGbxaObJxzHp9zfgv4OdFOFKAP8E9XgEiSVCxzBZIkSepA7HorSZIkSaoai0cK0Kh96OOl+2WB75VuDYUjG+ac300pdYf/24/2fOB6YGjO+b9tG7UkSZIkSZLaC7veSpIkSZKqqVutA+gIGrUPfRH4ChgKLEK0Cm0oHHk/pdQ15zy10XlPpJSeyzl/1eZBS5JUI3YDkSRJksrWuOvtvcC+wIE06XoLjE8p/RyYCnwHu95KkiRJkubA1QbFeh24mWgL2h94h68XjkxveoKFI5IkSZIkSWqOXW8lSapTrpKSJHUgdh4pUM55SkrpJKAfsBqwWXOFI5IkqfqGD4cRI2odhSRJklQ+u95KkiRJkqrNziMFyzl/SOwru1ZptUc3C0ckSZIkSZJUALveSpLUHDuBSJJUNjuPVEHO+WOAlFKXnPO0WscjSVK9cP4uSZIklc+ut5IkSZKkarHzSBXlnGfUOgZJkiRJkiR1HHa9lSSpzrhaSpLUQdh5RJIkSZIkSWpH7HorSZIkSSqanUckSVKbqOUiDBeASJIkqSOy660kSZIkqSgWj0iSJEmSJEmSJKl9c/WQJEkVsXhEkiRJkiRJkiRJkiSpE7N4RJIkdQouPpEkSZIkSZIkSZo1i0ckSVLVWbghSZIkSZIkSZJUvywekSRJkiRJkiRJksrlyilJUgdg8YgkSZIkSZIkSZIkSVInZvGIJEmSJEmSJEmS2i87f0iSVDGLRyRJUqdhHkGSJEmSJEmSJOmbLB6RJEmSJEmSJEmSJEnqxCwekSRJVWW3D0mSJEmSJEmSpPpm8YgkSZIkSZIkSZIkSVInZvGIJEmSJEmSJEmS2qd6aXtbL3FIklQmi0ckSZIkSZIkSZIkSZI6MYtHJElSp+IiEEmSJEmSJEmSpK+zeESSJFWNhRqSJEmSJEmqGpNPkiQVxuIRSZIkSZIkSZIkSZKkTsziEUmSJEmSJEmSJEmSpE7M4hFJklQVdg2VJEmSJEmSJElqHywekSRJkiRJkiRJUvtSjyuX6jEmSZJayOIRSZLU6TiPlyRJkiRJkiRJmsniEUmSJEmSJEmSJEmSpE7M4hFJkiRJkiRJkiSpCLa8lSS1UxaPSJIkSZIkSZIkSZIkdWIWj0iSpMK5wEKSJEmSJElVY/JJkqTCWTwiSZIkSZIkSZIkSZLUiVk8IkmSOiUXqEiSJEmSJEmSJAWLRyRJkiRJkiRJkiRJkjoxi0ckSZIkSZIkSZIkSZI6MYtHJElSp+XWNZIkSZIkSe1Me0jotIcYJUlqwuIRSZJUKOfGkiRJkiRJkiRJ7Uu3WgcgSZIkSZIkSerExo2Dyy+HBx6Afv1gvvlgyBDYay9YaKFaRydJkiR1ChaPSJIkSZIkSZLa3vjxcMIJcNVV8NVXsOSSMH16vD5+PBx7LGy4IZx5Jmy0Ua2jlVQPbHkrSVLVWDwiSZIkSZIkSWpbU6fCZpvBCy/A9tvDnnvCcsvNfP+tt+DOO+Huu2HjjaPI5Oc/h65daxezJEmS1IF1qXUAkiRJkiRJkqRO5sQT4dln4Ywz4NRTv144ArDUUvCjH8Gf/gS77ALnnAObbBIdSSRJkiQVzuIRSZLUqdntVJIkSZLa2F13wXnnwe67w7bbNn9s795w0knReeSJJ2DTTWOLG0mqdyadJEntjMUjkiSpMM6JJUmSJEnNGjUK9tsPhgyBo49u+Xm77Rbb1jz3XOvOkyRJktQi3WodgKTayRlefx3+9S/497/hySfhxRdh8mTo1i22kO3aFeaZBwYMgGWXhUGD4jZ4cNwGDYJ554WUav1pJEmSJEmSVPf22CM6h5x9NvTs2bpzt9oKnn8eLr00trRZYYXqxCipPrlqSZKkqrJ4ROpExo6Fl16CZ56Bf/4THngAPvss3uvTB5ZeGvr2hf79YZttYMYMmDo1jhkzJubm994LkyZ9fdy55oKBA2G11WCllWDddWGNNaLoRJIkSZIkSQLg/fdndg4ZPLi8Mb7/fbjzTjjiCPjHPwoNT5IkSerMLB6R2rmc4b334K23ouvnxx9Hkci4cfDppzB6dLw3ZgyMHz/zvMUWg402mlnwMXhwdBk55ph4/4gjZn+98ePhww/ho4/i9v778O67MV+/4YaZxy65JGy3HWy+OWy9dRSZSJIkSZIkqROaODFa3q62Guy9d/nj9O8f296MGAGvvmr3EUmSJKkgFo9I7cz06bHNzF13xe2tt+DLL79+TEow99xx698fllgi5uVLLAFLLRVbyg4YUN71U4ptauadF4YO/eb748fDyy/Da6/Bs8/CFVfARRdFF9Kdd4Z99oHtt49tcSRJkiRJklTnvvoKHnkE3ngjEj8TJsD888f+xkOGxH2XLs2P8fzz8MQT8fiMM2IFUyV22QUuuyy2r/n1rysbS5IkSRJg8YjUboweDRdeCL//fXQV6do1OoZst11sNzNwYMzb558f+vWb85y9WuaZB9ZfP24HHgjTpkV+4G9/g/vug1tugUUWgeOOiy6jbm0jqR4MHx6L1iRJkiRJwBdfwB/+AJdfDk89FQUkDbp0ib2OG8w7b+x/vPnmsOqqsNxy8dqkSfDJJ3DJJfDLX8Z5K6wQ7XArNWBAXO/SS+HMM2MfZkmSJEkVsXhEqnPjxsFpp8U8e8qU2GrmW9+CddeNziL1rls3GDYsbscdFwtVbrgBjj02PtdJJ8FRR0GfPrWOVFKlhg+vdQSSJEmSpLLlDA8/HAUjt94aBSOLLQY77RSrhJZbLvYk7tUrOpA07KP89NPw97/DzTfPHKtnT5g8eebzHXeMlVHduxcX7157xWqlq6+Gww8vblxJKpIrliRJ7YjFI1Kdyjnm6YcfDp99Flu97L8/DB5c68jK160bbLpp3F59NQpifvpT+M1v4PzzYd99Y1scSZIkSZIktZHPP48CjN/8JopB5porVi5tv310EplVsqZhT+OVV459inOG99+P80eOjGTWPPPEMUOGxN7HxxxTbNyrrBJtec85J/5xttKtcCTVN1ctSZJUdRaPSHVo7FjYbTd48MHo5vm738Hyy9c6qmKtsELkJJ55Jj7fd78L118f29q0h44qkiRJkiRJ7dp778X+yP/zP7FNzdChcOqpsPXW0V2kNVKCJZaI2yabVCfeWV1zv/3ghBPgjjtg113b5rqSJElSB2XxiFRnHnoI9tgDPv0UfvQj2Hvv6NjRUa2xBlxxBVx5ZXQiWWUVuPvuKC6R1H64+EOSJEmS2olRo+DMM2MbhZxh882jCGOllWodWettthkMHAg//CGss05ssyNJkiSpLF1qHYCkMH06nHFGzNd79YKrropuHB25cKRB165w8MGx0OXzz2G99eDZZ2sdlSRJkiRJUgcybVoUjSy5ZBSOfPvb0bHjnHPaZ+EIRFLpZz+DCRNg2DB48cVaRyRJkiS1WxaPSHVg1ChYf304/XTYdlu47rqOt01NS6y5Jlx+OfTuHR1On3qq1hFJ6kzsniJJkiSpw3r9dVh77diWZsMN4dZb4ac/hUUWqXVklVtppWhnO2NGrEi66aZ4LEmSJKlVLB6Rauzuu2NL2eefh5NPju4jffrUOqraWXzxmO/PPXd0YbEDiSRJkiRJUplmzICzzoIVV4wCkjPOiE4jAwfWOrJiLbdc7Im8+OKxB/Syy8bqrGnTah2ZJLliSZLUblg8ItXI5Mlw9NGw/fYwYABce210C02p7WL47DN45BG48UY499woXnnttcgljBgB998PI0e2/WKNRReFiy+OIpqttooYJEmSJEmS1Arjx8Omm0bCZ7PN4LbbIhHVUS28MFxzDfz855Fg++53Yaml4IYb7EQitXcWX0iS1Ca61ToAqTN67TXYaaco0thrLzjySOjZs/rXzTmu/Y9/wL33wocfznyvZ88o1vj88zjussviHmIbmQ03jO6ma60Fiy1W/SKXRReFCy6Agw+ODiRPPw39+1f3mpI0fHgUz0mSJElSu/bqq7E38gcfwHHHwZ57tu2KpVrp2jU+99Zbw8MPxwRv333hlFPgtNOiK0n37rWOUpIkSapLFo9Ibezmm+Ggg2Ke+utfw8YbV/+ao0bBXXfFdrZjx0auYLHFYIcdYPnlY2HGXHPF67//fZxz6KHw0Ufw/vtR5PL44/C3v8V7c88NG2wQ2+0MHRqdQXv3Lj7upZeG886DI46IDiSPPQY9ehR/HUmVcfGHJEmSJNWR556LTiNdu0Zr19VXr3VEba9Ll+i6svHG0Vr38svhe9+DE0+MQpIDDmiblVyS1MAVS5KkdsDiEamNTJ0KxxwDF10Eq6wCv/gFLLRQ9a43bRo8+CBccgm89Va8NnBgLL5YY40oFmlOjx4waFDcNtggupCMGhWFJK+9Ftvd3HtvHJtSfJbNNoN114V11oFuBf11GTYMTj01boccAldd1TkWykiSJEmSJLXak0/CllvGKp///d9IBlXDpEkwbhxMmBDtY/v1q851KtWlS3Qh2Wor+Oc/o4jksMOiC8npp8cKL1cqSZIkSYDFI1KbmDo15qgPPQT77ANHHVVccUVTH30Ef/wj3HILfPllzN132AHWXx/mn7/8cVOCRRaJ2yabxGvjx8M770RxyssvR2eTG2+MwpR994U99oB55qn8M223XXRZHTECllkmFohIkiRJkiSpkRdeiJU9884bhSOLLlrs+JMmwW23RQHG559//b1+/WC11eK2+uqwwgqzTn5NmwZvvgmjR8djiOOWWCKSTl26FBtzg5SiC8lGG8G//hWrrX7wgygi+d73Iok1bJgrlqR6ZMtbSZLajMUjUpVNnw477hiFI8cdB3vtVZ3rvPEGXH31zG4gSy8N22wDK61UvXn3PPNEF5VVVoFvfzvm/C++CPfdF4Ue110HZ50FG25Y+bUOPji20Dn11Phs++xT+ZiSJEmSJEkdwujR0W62T59Iyiy8cHFj5xwrhi68MApIBg2K7iZzzx0dTj75JJI2L70EDz8c56QUscw1V2yfM3FirELKOfZGnpXu3WGBBSKhtd56kXAqevVVSjPb5j7xBNx0U+wr/atfxR7PO+0U199ss/rtpiJJkiRVicUjUhXlDEceCX/9K/zwh9UpHBk9Go49Fl55JebYW24Jm28O881X/LXmpFu3WFyy+urw7ruxiOPoo6Ow5Mc/jpxBuVKCk06KzioHHBCLUTbbrLDQJUmSJEmS2qcpU6Jw5NNPIxlTZOHItGlw7rnR5nbw4OjQsfTSsz9+wgT473+jmGT8+LjNmAGLLx4dR7p3h+23h/79ZxaGTJ0aBSgffhh7JV91FVx5JfTqFZ9r662jK0jXrsV9rpSiQGW99SLGBx6IlV9XXRVdW7p2jS4qe+4Ju+7a/GeWJEmSOgiLR6QquummmG/uv38UPBRpxgy4/fZYHDFtGnzrW7E1Tt++xV6nXAMHRufPO++EO+6IRSVXXgkLLlj+mD16xEKQQw6Jbi6PPw4rr1xczJIE0Q11xIhaRyFJkiRJLXTiifDMM/Dzn8OKKxY3bs7w/e/HXsXbbgs77zzn9rb9+kWhx7Bh33zv97+P+7XX/uZ7Q4bMfDxpErz6Kjz7LPzlL/CnP8WKpG22gS22gDXXLLYjyTzzxMqnb387Clmefz66kjz6KPzkJ3D88dEC9/TTYz9lSZIkqYOyeESqkgkT4KijYOhQOOKIYscePz7+cfONN6JT6MEHV1aUUS3du8fijCFD4h9i99wz7hvnA1prnnngggvgwAOjWObpp6OrqKTacNtZSZIkSaqhe++NlUXf+U4UeBTp8sujcGTnnWG77Yoduzm9e8Maa8RtypTYI/nZZ+Guu2IlVe/ekRTafPMoROnRo7hrd+8exSlrrhlthEeNgltugZtvjlVi554b7XUlSZKkDmgOpeKSyvWzn8HYsbFAociumi+9BLvsAm+9FcUYP/1pfRaONLbSSvF1gOjA8thjlY238MLwu9/BF1/E1jWffVZxiJIkSZIkSe3LG2/ENjLLLBP7BhfpiSfg4othnXWi3W2t9OgRXUwOPjiKZH7wA1hlldgj+uijYdNN4YQToohm4sTir7/wwrE67I47YOONY+/os88u/jqSOgdXYUmS6pzFI1IVfPwx/Pa3sbXKSisVN+4dd0S30JSiY+bmm8fj9mCJJeCkk2DeeeFHP4LbbqtsvCFDYrHH22/H1rdTpxYTpyRJkiRJUt374ovoNJISnHdedOMocuzjj4cBA2Dffesn+dSjB6y2Ghx0EJx/fnQGWXvt2Nf45JNjS5szzoAXXij+2gMGwC9+EYU0J50U15QkSZI6GItHpCq4/nqYPh3226+Y8aZMgbPOgjPPjCKMU0+FwYOLGbst9e8f8+ullor59u9+BzNmlD/eOuvAKafAk0/C4YfHVrySJEmSJEkd2owZ0Zb27bejC0bR+/ledhl8+WV0++jZs9ixi9K9O6y8Mnz3u1E8c9xxUUjy179Gcck++8A77xR7zW7dogVw377wP/9T7NiSZs1OHZIktSmLR6SC5QwXXQQrrhhFEpV6993Ytvb222NByfHHw1xzVT5urfTqFR0+N90Urr02trGZMqX88bbfPnICl10WuQJJkiRJkqQOK+fYruX+++HII2HddYsd/+234YYbYIMNYMklix27Wrp0gWWXhf33j+TQzjvDyJGw++5wwQWxwqsoffpEMurmm2H06OLGlSRJkuqAxSNSwV56Cd56K7asqdSjj8Lee8O4cXDYYbGopEsH+K3t2hX22gt23RVeeSUWiUyeXP54hx0GW20VhTV33FFcnJI6Lxe2SJIkSao7U6fCgQfChRfGdjJFtbxtMG1a7DXcsyd8+9vFjt1WevaE7baLFr7rrQfXXAMXX1zsNbbbLr4XDz9c7LiSJElSjXWrdQBSR3P33XG/ySblj5FzzG0vvBAWXDAWlMw/fzHxNZgxA8aOhTFjopijWzfo16/YazQnJdhmm9iS9/rrI99x/fWxfW1rdekCp50GH3wQxTZPPAGrrFJ8zJIkSZIkSTUxcWKsnHnsMTj0UDjkkEiuFOnKK+HDD2P8tkwSVUO/ftGJJKX4XEOHwmabFTP2PPPE/aRJxYwnSZIk1QmLR6SC3XILDBkCCyxQ3vnTp8OZZ8Jdd8EKK8APflDc9rKTJ0eO4e67Y+vaWXXtTCkKSe69N+bViy9e3W4nG28cxSvXXAPf/z5cfXV51+vVC84/P/IC22wDzz8fhTeSqsfuHJIkSZLUBj77DLbcEp55Bk4+uTpdQV5+GS69NPZhHjas+PFrZa+9okXwSSfBjTfCoEGVj9mw8umrryofS1LnM3w4jBhR6ygkSZoli0ekAo0dG0UL++9f3vk5RwHEXXfBDjvErYhFJJMnwz33wN/+Fh1I+/aF5ZaDAQNiIUbOUUjyxRfw7LOxcOL22+PWvTusvTastloUs3TvXnk8TW2wQVz7j3+MPEW5/yC9wALx9TvkkOgg+sQTUQgjSZIkSZLULr36aqyS+eijWG207bbFX2PcODjqKJhrrljZ05F07w5HHgmnnBLFIyecUPmYDauxiu78IkmSJNWY/6wqFejOO2P+uPnm5Z1/883RuWSrrWDHHYuJ6e234Xe/i4KQ+eeHDTeEhRaa/fHvvhv3G28M778P770XRRiPPhodQtZdFzbaCAYPLnaOvPXWkQe59FJYdtnyv4ZDh8KJJ8Y2NiecAOedV1yMkiRJkiRJbeaFF2Jf5K5d4eKLY2VP0caNg332iRa1xx0XK44qlTOMHw+ffx636dOjZexXX8VnmTKlvH2LyzXffLD66vCXv8RnrHSl0aefxn1zCTZJkiSpHbJ4RCrQFVfAwgvD8su3/tyRI+E3v4nCiV13LSae+++HW2+NbW922AEWXbTl5/bpE9vvDBkSc/wPP4Q334THH49Ckr59o/PnsGEx769USrDvvvDOO9GB9brrYKmlyhtr++2j2+r558M668Duu1cen6Svc8saSZIkSaqil1+OlT09e0bhyMCBxV9j9Gj43veigOSHP4Qllyx/rJzhv/+NrXUeeyza4M7OkUfGnsVdu8Z9ly5R0DFoUBR6rLZaJNeKSDg1WGstePLJWCG14YaVjTVmTNwvskjlcUmSJEl1xOIRqSBvvBFFFfvvX15Hjp/+NObJhx4ac+ZKPfZYFI7MP38UjvTsWf5YXbvCEkvEbf3147M+8wxcfjlcfz3ssUe8Xmknku7do0vqmWfCYYfBbbfB3HOXN9Yxx0Se5ZBDYpHOggtWFpukzsctaCVJkiTVxIcfwhZbRKJoxIhIyBQp51hxdNZZUeTxwx/GXsXleu89uOACmDAhklr9+8dqo759oXfveG3qVPjXv2DGDFh66ehCMm3azNuUKbGy6tVX4eGH47NvvjnstFMxeyivuGIkxx58sPLikXHj4t5kk1RdrlySJKnNWTwiFeQXv4gii732av25Tz0VizN22QX69as8ltdeg2uugXnnjTGLKEZp0KNHbA2zwgrRJeSxx+Jaf/4zHH98LBCpRP/+cPjh0TXk4IPhhhvKW2jSvXtsXbPPPnDssXDttZXFJUmSJEmSVHVTp0ZL1QkTYm/fogtHXnkFTjopCj4WXBCOPrr8a3z1Ffzxj/DQQ1HsseGG0VJ3dsUeffrE/eqrz37MadNiH+U33oD77ouVWj/5SbT6rUS3brDSSlE0c+KJlSXLGopHBgyoLCZJkiSpzhT4T8pS5/XKK3D11bDbbq2fN86YAaefHkUjm29eeSxjxsRij169YOediy0caSwlGDwY9t47cgMTJsR2M088UfnYyywTRThvvhlFJDmXN85SS0X31euug0ceqTwuSZIkSZKkqjr7bHjuuSjwKGdf5FkZNw5uuim6eOy/fySP9t0Xzjij/MKRUaPghBOicGTFFWO8oUMr7xLSrVsknLbcErbdNjqjnHEG/Oc/lY0LsMoq8MUX8PzzlY3z2WfRUaV378pjktQ52VVFklSnLB6RKjRjRnS3mGsuOOig1p9/330x3/7Od6KrR6Wx/PKXUWyx886VbVXTUilFbmCPPaIb6ZVXxnYzM2ZUNu7GG0ee4JZb4Fe/Kr+A5MADo5vJiSdWFo8kSZIkSVJVTZoEv/kNbLppFE5U6p13ohjlW9+C886D6dNh993jtY03Ln/F0auvxp7D06bFXskbbFCdJNTAgbDnnrFC6ve/j8KPSqy6aiTwTj45Yi/XtGmVJ/EkSZKkOmTxiFShSy6JBQtHHx1FCq0xY0bkBBZYANZeu/JYHnooOoBsuGEx29+0Rr9+UUAydGgUxJx0UnQvLVdK0cllq62igOTcc8srSOnVK/Ii//xnbOcjSZIkSZJUl266CcaPL29P5MYmTowCke98B+64A9ZdF049FX72s1ip07B9TDkefRR+97sonthtN1h00cpinZO+faP4Zdo0uPnmysbq3Ts6pHz8cezBXK4uXSpfNSVJkiTVIYtHpAqMGgXHHReFHzvs0Prz//53GDu2mO1lPv4Ybr0V5p0XhgypbKxydekShSsbbACffhoLOSZPLn+8lCLPsfXW8dl+8Yvy5ua77RY5jYsuKj8WSTN1ps6anemzSpIkSaqxCy6IPXiHDSt/jIkTYxXNH/8IW2wB55wD3/0uLLZY5fE99FAUXcwzT6wgmnvuysdsifnnh9VXh3//G15+ubKxVl8dVlgBLr4Y/vGP8sbo0iW6uEhSJUw6SZLqkMUjUgV+8hOYMiW2eE2pdefOmAHnnx/z30pyAhAx/PKXEcN227U+lqKtuGJ0DPn881jYMnVq+WOlBLvuGotMbr89Fsm0dn4+33yw/vrRwaTc7W8kSZIkSZKq6t13Y2uVchM7M2bAwQfDJ5/AEUdEgUdRrWn/8x+44YZIsjSs0mlLq68e7WUvu6yyrh8pwaGHZkLPSwAAIABJREFURseU44+PZFNrzTNPFOlMmlR+HJIkSVIdsnhEKtOjj8K118J++8UWrK11//0wZgzsskvlXUduvhm+/DI6j841V2VjFWXJJWGTTeCzz+D00yuf13/727DTTnDXXXDgga0vINl44+jO8uyz5cchSZIkSZJUFZMnRxvXBRcsf4w//Qlefz2KO1ZZpbjYPv4YLrwwtrvZaafKE1nl6No12t1OnAiPPFLZWH36xIqwpZaCs85qfQHJAgvE/UcfVRaHpNmzK4ckSTVh8YhUpqOOivn8QQe1/tyc4Te/gQEDKus6kjP8+c8xZ15ttfKKWKppueViW90xY+DOOysfb/vto4jklVdiG+DW2GijKEL5y18qj0NS52K+QpIkSVLVjR0b9/37lz/G//4vLL54bFdTlOnT4dxz4/FOO7W+48iUKfD++/DaazB+PEyYAG+9BaNHt35l0JJLRieVm26K8SrRsycceywsvTScfXbrClIaCnzef7+yGCRJkqQ6Y/GIVIbXXoNnnonun717t/78J5+MOfJ225W/WCNnuPXWKIZYbjlYc83yxqm2VVaBIUPg7rtj8Uultt025vUXXRRfw5bq3z8WlNx7b+UxSJIkSZIkFWr++eN+3Ljyzp84Mc5dY41i9zN+6CH44gvYdNPWb4EzdixcdVUkhR56KIpHPvss2vHefjtcfjncd19siTNt2pzHSwl23DEKWH77W3jxxXI+0Uxdu8bqsIUWik4kLU1cLb543P/3v5VdX5IkSaozFo9IZbjiiphf7rBDeeefdx707Qtrr13e+TNmxDazf/87rLRSbMlSjY6hM2bEnP7LL6NYpVwbbBBFNhdeGGNVIiU44IBYnHLssa07d+WV4aWXKvsskiRJkiRJhevZE+abL7aIKcfIkXG/yCKFhcS4cfCHP8SKnCWXbN25770Ht9025+NGjoSHH45k23vvzfn4vn1h991j65mLLoIbb4S33y5/v+ReveCYY+J++PAocJmTRRaJ79crr5R3TUmSJKlOdat1AFJ7dMMNsR3LgAGtP/eDD6I75047QffurT9/+nS45hp44glYddUoQClyQcmUKbGg5JJLZv3++uvDCitE8UxLde8eHUP+9KdYWLLffpXFuOCCsPXWcM898OGHsOiiLTtvxRUjhpEjW5/zkBTcwkWSJEmSqmSRRcrfCuWDD+J+oYWKiSXnWP00YwZss03rkk/Tp0fSprXuuSda2K6zTvPX69ULdtsNHnssOpo8+GAkqvr0iX2dl1gCll02vp4tiXveeeHII2P7mssvhx//uPnju3aNvaOLaLErqXMbPhxGjKh1FJIk/R87j0it9OmnMY9fffXyzn/ggbgvp+vI9OlwyilROLLmmsUWjrz7bhSMjBoVxSOz89hjMY/+739b18FjgQWieOOf/4xrVWq99eK+NVvSLrFE3L/1VuXXlyRJkiRJKtRGG8UWLuV00Who9dqrVzGxPPEEjBkDa63V+u1qKkn8vPBC7BU9Jz16xFY6++0HW2wByy8fbXkffzxWfZ1xRhSEXHstfPLJnMcbODCKVm65JbbbmZOFF459rSVJkqQOpNDikZRSt5TSQimlOfZTSCkNSSltXOT1pbbw73/H/Yorlnf+H/4QnTMWWKD1595wQ8xf11uvuC1sJ02KopF7723deQ88AE891bpzhg2LLiQXXFD51jELLRTdXP/wh5af07AlrcUjkiRJktQ+mXtSh7bmmrGipyXbtzT11Vdx37Nn5XGMHh1FF/36RSeQ1nrnncqu//TTLU/e9O4NSy8deybvuScceCDstVfs8TxoUKyCOuWU2BZn3Ljmx9puu1i5dd11c77uwguXv8WQJEmSVKcKKR5JKQ1IKV0HTAA+BD5PKd2eUlq5mdN+CjxQxPWlttSwnemQIa0/d+rU6CK6xhqtP/fVV6PLxqqrwsrN/Wa1wgcfRC6gXM8+27p8QM+eUfjy+efw3HPlX7fBiivCRx+1/PiGgp1yO8BK6rzcrkeSJKm2zD2pU1hhhbgvJ3HR0Ea20s4jU6fCOefEiqUddohuHq1VxHYu999fXgeWlKLoZfnlYfPNYZ99ogDmySejG0lz7XYXWigSb7ffPudVT/PPDxMmxNdLkiRJ6iAqLh5JKfUFHgb2BnoBCegB7Aw8mVI6otJrSPVk1KjontHajp0Qc/+cY8vV1pg+PbqD9OwZ3TuK8Mor8Je/VD7OX/8a3UtaasiQWBRy7bXl5QAa69cvrj19esuO79oV+vaNub0kSZIkqX0w96ROo3fvuC+nIGHs2Cgc6dat/OtPnw6nnRYFFltsAXPN1foxKm0121gRrWP79IF1141CmK++igKSKVNmf/xyy8Xnn1NXkYYinYkTK49R0te5gkeSpJopovPIj4HlgeeA9YG+wMrA5UB34IKU0tkFXEeqCx9/HIsLytkypqFLx0ILte68xx6LuehGG1WWA4Ao2Hj00ehiUpTWdC/p0iXm7F9+WXn3kYYcxueft+6c8eMru64kSZIkqU2Ze1Ln0KNH3E+b1vpzx46NFTPlyjm2axk7NhI3gwaVN07D9jlF+Mc/ihtr4YWjIGbCBPjZz2Z/3NJLx/0LLzQ/XkOhz5dfFhOfJEmSVAeKKB75DtEydLuc8xM550k555dzzocAOwLjgeNTShenVM4/t0v15bPPyus6AjBmTNz379+68/7851goseSS5V23weTJcNll8PLLlY0zK63p5rH00rFA48YbK7tmQyFNcwtGZnVOa46XJEmSJNWcuSd1Dk8/HfcLLtj6c194Aeadt/xrP/xwrF5aY43Y5qVc48aVf+6slFNIMztLLRV7QY8ePfuOIQ3tgj/4oPmxGgp1bG8rqVJ2WpEk1ZEiikeWAR7LOX+jl1/O+W5iRch7wCHAjSmlCvsmSLU1cWL528dOnhz33bu3/JwpU6KzxjLLlNftpMH/Z+++46Ossj+Of09C791CEewNK4gFFHRR7KIoVlYWBd3Vn7q6a1/bNsva/a2sDduq2LtiL2DvCApSFKWLKCAtyf39cWZ+xJiEeZ55JjNJPu/Xa16TzDz3PncC+uKenHPu4sXSnXfGH782X32V+bVFRX6E7E8/SbNmxb9nuotr48bRxkS5HsAa7GUBAACQJ8SeUD/ceKPUpYsnOESxbJlXLG2xRbz7zprlFT5t22Z/XvL332c3vqKkj4VJd1SpKpDVsKEHrtZ233RlWdLJMgAAAEAeJZE8Uiqv/qhUCOELSbtJ+kLS4ZIeN7OYv3oH8m/+/PjJI+mOF+kupJmYOdM7h66/frx7StLs2dLYsfHHZ+L996Ndv/nmUnGx9OKL8e8ZJ3lk1apoP38AAAAAQN4Re0LdN326B1f23z969dCkSf4cp2Vtaal0zTXeqvXAA7OrXJLWtN1NStLJI+muLjNmVP6+mQeali6tfp508kjSyTJAfUflEgAAeZVE8shMSVtXd0EI4TtJfSW9L2mQpOckxTz4A8ivn39ec6xpVOlOm8XFmY9ZtMifW7eOd89vvpGeeire2KiiHGvbuLEfX/Peex6niOOnn7wgJNPkkZISH9OxY7z7AajfiF8AAADkzUwRe0Jd95e/eLXLwQdHH/v88x4g2XjjeGOXLZMGDIhfLZVWWipNnZrdHBWlj4dJWlE1YXGztQerunXz69JHDQEAAAB1QBLJI+9L2sLMNq3uohDCD5L2lPSqpN0lHZLAvQuOpeR7HcidZcukFi3ijQ0h3v2keEetTJsmPfdc9HFxRS0u6dbN9+LTp8e736JFXuiR6X9xc+dKZWXxCnEAAAAAAHlD7Al12wcfSPfeKx199JrOGJn6+WfpmWek3r2jJ3/Mmyc98YTUoYPUvXu0sZXJ5mziqrRsmex86SqtLl2qviaEtVd+tWrlxwQ9/nhyawMAAADyLInkkSclmaQz1nZhCGGZpH0lPZYaU+eElHyvA7mzdGn2ySNR0ovS3TmjHrWyaJH00kvRxmQravJIep/++efx7jdnjrRptaHDX/ruO39OIh4CAAAAAKgxxJ7KoXCpDjrjDKlNG+m3v40+9oEH/IzePfaINm7ZMumKK7wDx6BB0e9bmXHjkpknbYcdkp1P8mCSJHXtWvU1IWQWvOvdW/rss+SP6gEAAADyJInkkeclnSjprUwuDiGskjRE0umSLk3g/nllZm3M7DdmdoWZ3WZmD5jZSWbWt8J1bOrrgBUrpCVLpPbt441fvty7iEb521BS4tdX102zMpMnR7s+CWVl0a5v1MiPAJo/P969vv9e2mCDzMd8+aU/9+wZ/X4AAAAAgLyp17GniihcqmOWL5feeUfad9/o1UoLF0q33CJtskm0SpkffpAuuMATSPbaS2rWLNp9KzN7dvZzVLTFFsnOt3Kld3lp3br64F5R0Zqzp6tzwAHeUveqq5JbI4D6ibOSAQAFokG2E4QQlku6LeKYMknXZ3vvfDOzLpJGS9pW0vrl3jpEUkMzu0nSyyGER0MIwcyKUp8dtVS6c0XUDqJpy5ZF7yBSVhYt2UTy/W3cbh7ZiJrgIvlxPFOmRB+3aJG0enW0I2gmTZLWX9+7sQKIhj0sAAAA8qU+x54kL1yS1EvS3pLaS2oh6RVJE0MIb5a7zkgqqYUmTPDOIX36RB97442evDBsWOZj5s6V/v53Dx7tt5/UuXP0+1ZUWio99VT285TXv7/UvHmyc37wgX/uU0+tPtjWoIEHndamRw9pn32k666TTj9dWnfd5NYKAAAA5EHGv+o1s8tzuZDaxsy6yc/Q3VdSB0mLJX0r6QdJDVOX/UHSVemfXQihjA4ktVv66Na4ySNLlniyRBRRu3lIa5JcatrajoOtTKdOXvgRVbrL6EYbZT5m8mRp112j3wsAAAAAkHvEnn4tVbh0r6Qxks6SNFzS4ZKuk/S6md1gZoMl70hiZkl0GUZNGj/en7ffPtq4GTM8YWOvvTILVJWWSi++KF16qQebDj44mcQRSfr442TmKW+TTZKdb/ZsaeJEqV+/6o+skTx5JH2O9NqMGuWJJhddlP0aAQAAgDyL0nnkT2a2jqQRIYTSXC2oNjCzTpLuk7ShpEmSbpefpfuTpCaSTpO0s6TdJPWQ/+w2kjQ0Vz87M3u1qvdat26tAw88MBe3rXfSySO33y7dd1/08e+958833pj5mNmz/ajV557LfMzy5dHW9Uvvpp6j/52ZPj164kq6g0iUn4kkLVjgz7fe6kcBrU1Jia/ts88k/nMAENeoUdLo0fleBQAAQJ1F7KmcVOHSy/L40yp54dJSSc0ltU1d9gdJ+5nZziGEs9OFS3QgqUV+/tkDG1G7bDz2mLeAHThw7dd+/bV3x1i2TGrbVho0SGrZMt56K1q40Dt6JOnYY6O34a1KCH6O8Ztv+vE8hx229jGtWmV+HnTXrtKQIdJtt3n3kaSP2gHqk/re9pagEwCgAEStRjhO0hNm1jQXiyl05bqGHCU/qmaupMsl3RJCmC5pcQjhW0nnSzpJ0n/KDT9U0mNm1rbCXKhF0kUHUbuHpJWWRh8bJ9wT5/iYJEQ9kkeK9/kk71ZSXJxZ4ojk8RHJ9/8Aoqnve3cAAADUqHode0qrpHDpPPnRNTvIY1L/kpRqWfH/hUsPmVkxiSO1TFlZ9EDOqlXSI494d461BTqmTJH++U+v3Bk40BMdkkocKS31dSTpkEM8ySMJK1dKjz4qvf66f+aLL5aaZvC/lm7dvNop0/+UTjhBatJEOvnkrJYLAAAA5FuUziNPSTpA0iBJL5nZASGERZkMNLN9Jf09hBCx/2JhKbf5HiCpmaQZkl4IISxJvV+Squ5YJelzSSeZ2TxJF0oKkvaXdJeZDU5dW5Q6gzeJtfWv6r1evXqFJ598Monb1HvDh0s//ujFGnHssovUq5d0xBGZjxkzRvrwQy8KydTixdLYsZGXl5JuyxHt70z37tLee0e/26uvSjNnSqecEm3cpZd6fOSaazK7/oknpE8/9Y4xUY66wdqRCwcAAAAgIfU+9lSua0jFwqXHQghLzKxBKqZ0vqRNJJ0qaWRqeLpwaVgI4YckO5DQ8TaHJk/2ZJDTT8+828YPP3jb2ZUrq2/l+vPP0rRpnpzSsaN34Pjyy2TWLXkAKoK19rpt396DYElYtUqaP9+Tc9Zd1z//3XdnNvb776UVK6Tf/96TQjLRoYP02mvSnntG7yIDAAAAFIgoae2HSLpVkknqI+lNM6v2gEgz2zm1uXxK0jZxF1kozKzIzNrLKz0k6cMQwtzy16Q35ekzZkMIF0k6R1Kp1iSQ3J96r4wOJLXL/PlSu3bxxpaWepFHJgUO5ZWURC9Aad062vVJ2HLLeOOWL4/XseTHH6VtIvxfJd01pk2b6PcCgPLoxAIAAJAz9T72VEnh0veqonAphPB5COEkSZelh2tN4VKDEEJIx6dQwJo18w4XK1dmPmbVKn+urr3typV+vnBRkbTeet6+NUkrV0o//ZTsnEklXSxdKs2d6z/XjTbyxJEo0p1PlizJfEz6HvPnR7sXAAAAUEAy7jyS6pAx0sxmS/qLpM0kTTCzQSGEz8tfa2ZbSPq7pIPSL8k3sLVdkH+W9MY7fQTNrzqIpBJDikIIZSGEK8wsyCtFJOlQM7sihPBnWonWLjNnxk8eWb7cnzMtWEhbvTr6Ma9mXujw8svRxmWjc+d44xYtit4JpKTE4wDrrpv5mPTPn+IPAAAAAChMxJ7+vxiprTIsXErFnS4ys2WS/iqpWGsKl4akC5eyjT/R8TaHXnpJ+s1vpBEjvF1tJsaM8eNoquqMEYJ09tmeMDJkSPJn+JaUSLffHnlYtb1ujzkmmaDNO+9I33zj1UPnnx/vs5eUSKedJu2wg/THP2Y+7tBDvaKL/x4SR/0lAABAzYhcfRBCuFjeDrNMUmdJb5hZX0kysy5mdrukT+Wbd0s9Jkj6TUJrzpvgFkr6IvVSfzPbvKqjZ9IJJKmvr5R0abm3Dzezw3K7YiRt6VKpRYt4Y+OGaUKInjwiSRtuGO9+cQwYEG+NZWXeBTRqQk66sCVK4UhpqT9H7eICAAAAAKhZ9Tn2pGoKl3514S/jTldIOj81VkoVLqXeq/VJNXXa5pv789SpmY8pKan+/SVLvGXr9tsnnzgiSe+/n+x8W2+dTOLInDnSJ59I/fpJ//hH/M/eoIHUqZM0YUK0cdtvL33xxdqvAwAAAApUrF+jhhBulTRY0s+S2kgaZ2ZjJE2R9Ft5lYNJ+kDS/iGEviGEVxJZcR6ZayApvZtrKGmEmbWsakyFjfzFkkan3tpA0p45XC5yJG6ie4sWUsOGfixtFA0aeJJFVEVF0uDB0cfFEbVzSNrixZ7U0aNHtHErVvhzyyr/y/u1dLwg6s8fAAAAAFDz6mvsicKleqhzZ2+t+sknmY/ZbDN/njWr8vcXL/bntm2zW1tlFi2SPv002TnjBpbKC0F65RU/G/mII7KvHlp33WjH1kjeBWb16uzuC9RXnBHs+DkAAPIs9r+iQwhPSdpPUqmkJpKOSz2bpImSDgsh9A4hPJvEQgtBagNfIunfkpZJaixpkFJn6loV/fPKb+QlXS/pzdTXJ5vZ7rldNQqFmScwfP99tHGNGsVLHpG8M0f//vHGZmrgwPj78Xnz/Dlq8kicI2hat/bnqD9/AAAAAEB+1MfYE4VL9dSAAZ48kmmTmC239OeZMyt/P5080qxZ1kv7lYceSn7OKK1lqzJtmrcMPuYYD6Zlq00bny+KBg3W3hUGAAAAKGCxfuVrZsVmdqKku1NzpFtqBkl3hhC2CSE8mtwyC85ESbdKWiVpK0mXmVmbEEIws+LKBpSrEPlK0vjU16slbSdVnXiCwtKkifTzz/HHb7ed9NVX0ZJBWrTwooW4TWY33dS7f+ZK9+7xx37+ue/nO3WKNm7VKn+u7FjfqrRv789z5kS7F1DfUfAAAACAfKivsScKl+qpfv2kBQukb7/N7Pr27b2ryEcfVf5+Omkk6farUZMpMrHJJtl3CSkr8yNmmjeXdtopmXWl541i8eJkjt8BAAAA8iTSv8xT1Q/DJH0p6WZJXeQb98Wph0k61sxOTnqhhSS1ib9e3kK0TFJ/Sfek3iutKoHEzCyEsFrSDZIWyatH+tfAkpGQTTZZ0y0jjj328H32119nPmbddX2vms3+fOed44+tzgEHxD/GZ/lyj2H07x99jtJSf27QIPMxnTv784wZ0e4FAJUhqQYAACA3iD39PwqX6pMBA/z5/fczHzNokHceWbny1+9ttJEnkLz/fvxqpMp8911yc6V17Zr9HFOn+hnHw4Zln4iSNn++1K5dtDGTJ0t9+iRzfwAAACAPMv7XtJkNlTRJ0h2Sesg36yskXS5pQ0l7SJotP3P2RjO7LPHVFpAQwgxJv5NXvEjSfmb2eOq90so25KkNfkNJyyWlD81cmn4v96tGtrp0yS55pG9f38N++GHmY9Zd15+zKRYpKpKOPz7++Kqsv378sdOmefwizp46XfhRXGm4rHKdOvn106dHvx8AAAAAIPeIPa1B4VI9s9lmUocO0nvvZT6mXz+vrpk06dfvmUlDh0rLlknjxyd3lMrs2cnMU1662ieukhLp7be9de+22yazJsm7wGyzTebX//yzJ/PsuGNyawAAAABqWJRU7PskbSrfuJdK+o+kjUMI54YQfgwhfCZpV3lliEk6z8xuLdcys84JIXyoX27ADzSzJ82sdVXJIKkNfDNJ6R6Gi3O7SiRpq62kH3+Mf/RJq1Ze/PHmm34UTSa6dPE9f7bFHY0aSUcckd0c5R15ZPyxZWWeQNOihX++qNI/u8aNMx9TXOwJJLNmRb8fAAAAAKBGEHsqh8KlesTMk0G+/DLzMTvsILVsKT3zTOXv9+kj7bWXJ5fcf7/0zTfeBjYbSXX1KK9p0+zGf/CBd18ZOTJ+e9yK5szxI2h69sx8zBtveMBrzz2TWQMAAACQB3H+xf+gpK1CCCeFEH7xK/QQwjeSdpP0jnwTP1zSY2aW5S6gcIUQxksaUO6l/SU9amY7m1kLSTKzovSG3syaSxosqYWkeZKeS71O69BaoF8/f67qSNlMnHaaFyN88EFm1zdp4sfYTpmSfafRNm2kQw7Jbg5J2mUXT4SJa+ZM7yZ6zDHxxq9Y4c/pI3wz1bFjtDgMAAAAACAviD2lULhUj2y5pXe7yLTaqEED6cQTPSnkq69+/b6ZVxGdeqp353juOenuu6U77vDnMWOk22+Xxo6VPv/cu5SsTTYtaCvTt2924+fPlz75xOfZbLNk1iRJ77zjP7+99858zHPPedVSOngIAAAA1EJRkkdekrRTCGFoCGFqVReFEBZJ2lPSM/JN/P6SXjKziIdE1h4hhNck9ZNXxaRbid4i6QIz2yyEUJaq/Ogg/3kMl9RE3or1vdQcVH/UAj17ereMKEfQVtSnj9S+ve8pM3XwwV5EMXdu/Pumderk82Vjq63ijw1BeustLyzZbrt4c6QLZeIkj8yfH++eAAAAAICcI/ZUCQqX6okttvBjaKK0TB082AMsDz9c9TVbby1deaV0+unSkCFSr17+Wu/e0s47e8Bp/Hjp3nulGTOqv1+2R8xUtOGG8ceWlkrjxnmr3SFDklvTqlXSq6966+AOHTIbs2iRNGGCNGxYbrqzAHXdqFH5XkFh4ecBAMijjP81G0IYGELIqFdCCGG5pIMl3SnfxPeRND7WCmuJ1EZ+Z0mfS1olaStJp0p6x8weMrNbJD0v6SpJ28vP6B0ZQliQpyUjhuJiaf/9pddfj39crJk0fLh3wMw0HrDddl5Q8sYb8e5Z0TrrxO9AMnRodvvgqVO9mOWoo+LPM3++H1nTunW0cc2aeUwEQGbYqwIAAKAmEXuqGoVL9UD6j6e4OPMxTZv6xm36dOmzz6q+rkkTT04ZOFA6/njphBM80eG446RrrpEuusirpV5+2c9rrkrUKp7qbLaZryuOEKQnnvDWviNHZn/0TXlvvulVS+eck/mYBx/0ZJYRI5JbBwAAAJAHOUuFDiGUhhCGS7pcvonfNFf3KhSpAMchkm6WtExSU0mtJB0qaYQ8aaS9pI8l7RlCmJanpSILQ4f6saeZHjtTmUGDPHHinXcyu75JE+mgg/y+SXQfkbwDyXHHeewgU8OGRU/YKG/1ai/EaNnSC1zimjbN1x+1ZqqoyPfyAJAEkmsAAADyq77FnihcquPmzfPndhEb6Awd6i1u77przTm/UZj5cTTnn+9fP/VU9RVTw4dHv0dlsgkMvfeetGCBd17p2TOZ9Uj+uZ99VuraNfN2uStWePJIv37S5psntxagviC4AgBAQcl5H70QwrmSTpNUL6obQggzJJ0laQ9JYyS9LmmhvE3o85IulnRQCGFKnpaILA0a5F0vXn89/hxt2nhnzrfflsrKMhvTv7/UsKF3zkyqVqhpU9/bHnFE9dftuKMXpcQtCEn7+GPv/nnyyfG7jqxa5fGUXXaJPtYs8583AAAAAKB2qE+xJwqX6rB58zzw06JFtHENG/qxND/9JD3wQPz7t2vnAZtlyzxgVd39jjsu/n0kPzonbheTb77xAFO/ftI++2S3joo++sh/jmedlfmYF17waq9LL012LQAAAEAe1MghjCGEGyQdVRP3KgQhhJIQwoeSRoUQ+kvaRtK2IYR9JV0VQvg2rwtEVpo2lfr0yT6JY9gwacmStR8nm9a4sXT00b6Hfeed5BJIJE9mGTnSu2uus44f6dqvn3TooZ40suOO2R/Zunix7+379PFjY+P6+GPvYNK/f/Sx8+dLHTvGvzcAAAAAoDDVp9gThUt11NdfS+utF73NqiRts40HdSZMkMZncXrT1ltLe+4pTZrkQZSqNG3qga24ttkm3rjSUum11/z+Rx0V72dVnQ8/9OSdKBVL48ZJnTtLe+yR7FoAAACAPKiR5BFJCiE8WFP3KiDpHo/z5JtSGcZwAAAgAElEQVR41BHDh3tByOTJ8efo188TMj76KPMxu+ziSROffupJFEkrLvYklWbN/DibDh2yTxqRPNHl+ed9/iFDspvrhRc82aVXr+hjv/3W4yAAAAAAgLqnPsWeKFyqgyZO9OSRuEaOlLp3l/77X+nLL+PPc9BB3l3kpZeqr1xq0sQTVjI93iWta1epQYN4a/v4Y2n5cul3v/MgU5JWr5Y++0zae+/Mg2E//ii9+6507LHJJ7IAAAAAeVBjySP1UQi+wwqurPxrqN0OPND3qC++GH+Oli2lHj28E2hpaWZjzPwo244d/XjXDz5ItgNJrkya5PvpoUOlVq3izzNjhncnPeaY6Ekty5dLs2dLm2wS//4AAAAAABQYCpfqih9+8GqZuIqLpVtu8Tmuv16aOjXePE2bejLEkiVrT0IpLpZ22kk67LC1z7vbblK3bvGTLFas8M4gHTrE71xSnalTPYFk990zH/PKKx7UO/zw5NcDoH4bNSrfKwAA1FMkjwAxtG8v7bqr9NxzmSd+VGbUKN+LT5yY+ZiiIumSS7wLyQcfSPffLy1YEH8NubZokXdNbdfOu63EFYJ0991S8+bSEUdEH//++1JJiTRgQPw1APUJe1QAAACg8FG4VIf06CFNn57dHG3bSvfdJ7VuLd1wg1fgxNGnj1f/vPWWtGrV2q9v397PPd53X2nbbde8vsEGPtfhh0tbbRVvLWnTp3twKFeb1SlTPLElSieVF1/0I2t22CE3awIAAABqGMkjQEynnurHv77/fvw5dt/dj1J9/vlo44qLpd/+1o/PWbFCevRR6dVXvbtHISkpkZ55xruRnndedh08331X+u476cwzPYEkqgkTvHgmSgEJAKwNSTYAAAAAErHnnp4gsWJFdvO0bSvddZcfK3P11dKsWdHnMJNOOcU7cXz4YWZjior8SJo+ffwInZEjpX328WSStm2jr6GiTz7xc5a7ds1+rsp89JEngrRokdn1ixd7W+DjjuPIGiAugioAABQckkeAmA480IswHsziROUGDaSjjpKmTZPmzIk21kzaeWf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      "text/plain": [
       "<Figure size 2520x1080 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize figure\n",
    "fig, axes = plt.subplots(3, 7, figsize=(35, 15))\n",
    "axes = axes.reshape((3, 7))\n",
    "[a.set_frame_on(False) for a in axes[:, 3]]\n",
    "[a.set_xticks([]) for a in axes[:, 3]]\n",
    "[a.set_yticks([]) for a in axes[:, 3]]\n",
    "\n",
    "# plot noiseless run (left)\n",
    "fg, ax = dyplot.cornerplot(dres, color='blue', truths=[0., 0., 0.], truth_color='black',\n",
    "                           show_titles=True, max_n_ticks=3, title_kwargs={'y': 1.05},\n",
    "                           quantiles=None, fig=(fig, axes[:, :3]))\n",
    "\n",
    "# plot reweighted noisy run (right)\n",
    "fg, ax = dyplot.cornerplot(dres2_rwt, color='red', truths=[0., 0., 0.], truth_color='black',\n",
    "                           show_titles=True, title_kwargs={'y': 1.05},\n",
    "                           quantiles=None, max_n_ticks=3, fig=(fig, axes[:, 4:]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Full Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In general, however, we don't have access to the true likelihood. In that case, we need to incorporate importance reweighting into our error analysis. One possible approach would be the naive scheme outlined below, where we just add in an importance reweighting step as part of the error budget. Note that it's important that this reweighting step happens at the end since `simulate_run` (re-)sorts the samples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "0 5 10 15 20 25 30 35 40 45 0 5 10 15 20 25 30 35 40 45 0 /home/joshspeagle/anaconda3/lib/python3.6/site-packages/dynesty-0.9.4-py3.6.egg/dynesty/utils.py:679: RuntimeWarning: invalid value encountered in sqrt\n",
      "5 10 15 20 25 30 35 40 45 "
     ]
    }
   ],
   "source": [
    "Nmc = 50\n",
    "\n",
    "# compute realizations of covariances (noiseless)\n",
    "covs = []\n",
    "for i in range(Nmc):\n",
    "    if i % 5 == 0: sys.stderr.write(str(i)+' ')\n",
    "    dres_t = dynesty.utils.simulate_run(dres)\n",
    "    x, w = dres_t.samples, np.exp(dres_t.logwt - dres_t.logz[-1])\n",
    "    covs.append(dynesty.utils.mean_and_cov(x, w)[1].flatten())\n",
    "\n",
    "# noisy case (ignoring reweighting)\n",
    "covs2 = []\n",
    "for i in range(Nmc):\n",
    "    if i % 5 == 0: sys.stderr.write(str(i)+' ')\n",
    "    dres2_t = dynesty.utils.simulate_run(dres2)\n",
    "    x, w = dres2_t.samples, np.exp(dres2_t.logwt - dres2_t.logz[-1])\n",
    "    covs2.append(dynesty.utils.mean_and_cov(x, w)[1].flatten())\n",
    "    \n",
    "# noisy case (w/ naive reweighting)\n",
    "covs3 = []\n",
    "for i in range(Nmc):\n",
    "    if i % 5 == 0: sys.stderr.write(str(i)+' ')\n",
    "    dres2_t = dynesty.utils.simulate_run(dres2)\n",
    "    logl_t = np.array([loglikelihood2(s) for s in dres2_t.samples])\n",
    "    dres2_t = dynesty.utils.reweight_run(dres2_t, logp_new=logl_t)\n",
    "    x, w = dres2_t.samples, np.exp(dres2_t.logwt - dres2_t.logz[-1])\n",
    "    covs3.append(dynesty.utils.mean_and_cov(x, w)[1].flatten())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Noiseless Likelihood Std:\n",
      " [0.99790458 1.00934446 1.00166251] +/- [0.01784639 0.01665958 0.01364221]\n",
      "Noisy Likelihood Std:\n",
      " [2.01344999 1.97173718 1.97409551] +/- [0.03699717 0.02796772 0.0297491 ]\n",
      "Noisy Likelihood (Naive Reweight) Std:\n",
      " [1.94106362 2.04433642 1.94778973] +/- [0.18755132 0.25165451 0.20470191]\n"
     ]
    }
   ],
   "source": [
    "# compute errors\n",
    "cov_mean, cov_std = np.mean(covs, axis=0), np.std(covs, axis=0)\n",
    "cov2_mean, cov2_std = np.mean(covs2, axis=0), np.std(covs2, axis=0)\n",
    "cov3_mean, cov3_std = np.mean(covs3, axis=0), np.std(covs3, axis=0)\n",
    "\n",
    "# print results\n",
    "print('Noiseless Likelihood Std:\\n', cov_mean[[0, 4, 8]], \n",
    "      '+/-', cov_std[[0, 4, 8]])\n",
    "print('Noisy Likelihood Std:\\n', cov2_mean[[0, 4, 8]], \n",
    "      '+/-', cov2_std[[0, 4, 8]])\n",
    "print('Noisy Likelihood (Naive Reweight) Std:\\n', cov3_mean[[0, 4, 8]], \n",
    "      '+/-', cov3_std[[0, 4, 8]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "While including the noise from our intrinsic likelihoods appears to substantially increase our error budget, it didn't actually shift our mean prediction closer to the truth. What gives? The issue is that we aren't accounting for the fact that we are able to get an estimate of the true (expected) log-likelihood from our many repeated realizations (via the mean). We can estimate this and our possible uncertainties around the mean using bootstrapping."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# compute sample mean and std(sample mean)\n",
    "logls = np.array([[loglikelihood2(s) for s in dres2.samples] for i in range(Nmc)])\n",
    "logls_est = logls.mean(axis=0)  # sample mean\n",
    "logls_bt = []\n",
    "for i in range(Nmc * 10):\n",
    "    idx = np.random.choice(Nmc, size=Nmc)\n",
    "    logls_bt.append(logls[idx].mean(axis=0))  # bootstrapped mean\n",
    "logls_std = np.std(logls_bt, axis=0)  # bootstrapped std(mean)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "0 /home/joshspeagle/anaconda3/lib/python3.6/site-packages/dynesty-0.9.4-py3.6.egg/dynesty/utils.py:679: RuntimeWarning: invalid value encountered in sqrt\n",
      "5 10 15 20 25 30 35 40 45 "
     ]
    }
   ],
   "source": [
    "# noisy case (w/ mean reweighting)\n",
    "covs4 = []\n",
    "for i in range(Nmc):\n",
    "    if i % 5 == 0: sys.stderr.write(str(i)+' ')\n",
    "    dres2_t, idx = dynesty.utils.simulate_run(dres2, return_idx=True)\n",
    "    logl_t = np.random.normal(logls_est[idx], logls_std[idx])\n",
    "    dres2_t = dynesty.utils.reweight_run(dres2_t, logp_new=logl_t)\n",
    "    x, w = dres2_t.samples, np.exp(dres2_t.logwt - dres2_t.logz[-1])\n",
    "    covs4.append(dynesty.utils.mean_and_cov(x, w)[1].flatten())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Noiseless Likelihood Std:\n",
      " [0.99790458 1.00934446 1.00166251] +/- [0.01784639 0.01665958 0.01364221]\n",
      "Noisy Likelihood Std:\n",
      " [2.01344999 1.97173718 1.97409551] +/- [0.03699717 0.02796772 0.0297491 ]\n",
      "Noisy Likelihood (Naive Reweight) Std:\n",
      " [1.94106362 2.04433642 1.94778973] +/- [0.18755132 0.25165451 0.20470191]\n",
      "Noisy Likelihood (Mean+Bootstrap Reweight) Std:\n",
      " [1.04517844 1.03695545 1.04111493] +/- [0.04379154 0.03933618 0.03852552]\n"
     ]
    }
   ],
   "source": [
    "# print results\n",
    "cov4_mean, cov4_std = np.mean(covs4, axis=0), np.std(covs4, axis=0)\n",
    "print('Noiseless Likelihood Std:\\n', cov_mean[[0, 4, 8]], \n",
    "      '+/-', cov_std[[0, 4, 8]])\n",
    "print('Noisy Likelihood Std:\\n', cov2_mean[[0, 4, 8]], \n",
    "      '+/-', cov2_std[[0, 4, 8]])\n",
    "print('Noisy Likelihood (Naive Reweight) Std:\\n', cov3_mean[[0, 4, 8]], \n",
    "      '+/-', cov3_std[[0, 4, 8]])\n",
    "print('Noisy Likelihood (Mean+Bootstrap Reweight) Std:\\n', cov4_mean[[0, 4, 8]], \n",
    "      '+/-', cov4_std[[0, 4, 8]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that after reweighting using our mean likelihoods (with bootstrapped errors) now properly shifts the mean while leaving us with uncertainties that are slightly larger than the noiseless case. This is what we'd expect given that we only have a noisy estimate of the true log-likelihood at a given position."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 2520x1080 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize figure\n",
    "fig, axes = plt.subplots(3, 7, figsize=(35, 15))\n",
    "axes = axes.reshape((3, 7))\n",
    "[a.set_frame_on(False) for a in axes[:, 3]]\n",
    "[a.set_xticks([]) for a in axes[:, 3]]\n",
    "[a.set_yticks([]) for a in axes[:, 3]]\n",
    "\n",
    "# plot noiseless run (left)\n",
    "fg, ax = dyplot.cornerplot(dres, color='blue', truths=[0., 0., 0.], truth_color='black',\n",
    "                           show_titles=True, max_n_ticks=3, title_kwargs={'y': 1.05},\n",
    "                           quantiles=None, fig=(fig, axes[:, :3]))\n",
    "\n",
    "# plot realization of reweighted run (right)\n",
    "logl_t = np.random.normal(logls_est, logls_std)\n",
    "dres2_rwt2 = dynesty.utils.reweight_run(dres2, logp_new=logl_t)\n",
    "fg, ax = dyplot.cornerplot(dres2_rwt2, color='red', truths=[0., 0., 0.], truth_color='black',\n",
    "                           show_titles=True, title_kwargs={'y': 1.05},\n",
    "                           quantiles=None, max_n_ticks=3, fig=(fig, axes[:, 4:]))"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
